P.I. rings and the localization at height 1 prime ideals

Abstract

LetR be a prime P.I. ring, finitely generated over a central noetherian subring. LetP be a height one prime ideal inR. We establish a finite criteria for the left (right) Ore localizability ofP, providedP/P2 is left (right) finitely generated. This replaces the noetherian assumption onR appearing in [BW], using an entirely different technique.